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Finding the Fourth Proportional to 7,683.80, 11,506.19 and 4,391.15

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Solution

The fourth proportional to 7,683.80, 11,506.19 and 4,391.15 is: 6,575.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,683.80 : 11,506.19 = 4,391.15 : x
  2. Step 2: Convert to fraction form
    7,683.80/11,506.19 = 4,391.15/x
  3. Step 3: Cross multiply
    7,683.80x = 11,506.19 × 4,391.15
  4. Step 4: Simplify right side
    7,683.80x = 50,525,326.73
  5. Step 5: Solve for x
    x = 50,525,326.73/7,683.80
  6. Step 6: Final answer
    x = 6,575.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.